The 29-year-old made a switch to Old Trafford on the final day of the last summer transfer window as he joined the Red Devils on a season-long loan from AS Monaco. Louis van Gaal's side have the first option to sign him on a permanent transfer.

Falcao has struggled since joining United as he has scored four goals and managed four assists this season. Injuries to key players forced the Dutchman to start with the former Atletico Madrid striker against Chelsea.

However, the Colombian international failed to impress as United suffered a 1-0 defeat at the hands of the Blues at Stamford Bridge. The 20-times English champions are not willing to sign the player on a permanent transfer in the summer.

Falcao's agent Jorge Mendes is looking for alternatives and has approached Liverpool to check if they would be willing to secure his services. The Merseyside club's star striker Daniel Sturridge spent most part of the time on the treatment table.

In the absence of the England international, summer signings Mario Balotelli and Rickie Lambert have struggled to fire for Brendan Rodgers' side. The Daily Mail claims Balotelli, Lambert and Fabio Borini will be allowed to leave as the Reds prepare a summer overhaul.

If this happens, Liverpool will be left with Sturridge as the only striker in the squad. With Falcao being made available, Rodgers is keen on bringing the South American star to Anfield in the summer.

The report from the Independent also suggests the former Swansea manager believes Falcao could be the answer to Liverpool's striker woes, despite his poor form at United. The striker's agent admitted earlier in January that top clubs across Europe will be interested in his client, if United reject the option to sign him.

"His dream is to stay at Manchester United, but if that does not happen, it is certain that he will play in one of the most important teams next season. All clubs want a player like Falcao," Mendes said, as quoted by French newspaper Le10 Sport.

"I do not know. Falcao is 100%, but they do not give him the opportunity to play regularly. If he plays five or six consecutive games, people will see that this is one of the best strikers in the world," the Colombian's agent explained.